Basic Introduction of Trigonometry for class 10th ,CBSC,Mp Board

Basic Introduction of Trigonometry for class 10th 

• Right-angled triangle

Applying Pythagoras theorem for right- angled triangle, we have:

(Hypotenuse)²  =  (Perpendicular)²  +(Base)²

Or (H)² = (P) ²+ (B)²

• Reciprocal Relation Between Trigonometric Ratios: S. no. Identity Relation       1. Tan A Sin A/Cos A       2. Cot A Cos A/Sin A       3. Cosec A 1/Sin A       4. Sec A 1/Cos A

 

• Trigonometric Identities:

 

  1. Sin² A + Cos²A = 1

  2. 1 - Sin²A = Cos²A

  3. 1 - Cos²A = Sin²A 

  4. Tan²A + 1 = Sec²A

  5. Sec²A - 1 = Tan² A

  6. Tan²A - Sec²A = 1

  7. Cot²A + 1 = Cosec²A

  8. Cosec²A - 1 = Cot²A

  9. Cosec²A – Cot²A = 1

 

 • Trigonometry Table

 

Angles→ Properties↓	0°	30°	45°	60°	90°
Sin θ	0	1/2	1/√2	√3/2	1
Cos θ	1	√3/2	1/√2	1/2	0
Tan θ	0	1/√3	1	√3	∞
Cosec θ	∞	2	√2	2/√3	1
Sec θ	1	2/√3	√2	2	∞
Cot θ	∞	√3	1	1/√3	0

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